What is the Least Common Multiple of 64878 and 64896?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 64878 and 64896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64878 and 64896, than apply into the LCM equation.

GCF(64878,64896) = 6
LCM(64878,64896) = ( 64878 × 64896) / 6
LCM(64878,64896) = 4210322688 / 6
LCM(64878,64896) = 701720448

Least Common Multiple (LCM) of 64878 and 64896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64878 and 64896. First we will calculate the prime factors of 64878 and 64896.

Prime Factorization of 64878

Prime Factorization of 64896

Now multiplying the highest exponent prime factors to calculate the LCM of 64878 and 64896.

LCM(64878,64896) = 2⁷ × 3¹ × 11¹ × 983¹ × 13²
LCM(64878,64896) = 701720448